MathDB

a, b, c are 2-digit, 3-digit, and 4-digit numbers (HOMC 2017 J Q5)

Source:

August 7, 2019

number theorymaximumDigits

Problem Statement

Let

a, b, c

be two-digit, three-digit, and four-digit numbers, respectively. Assume that the sum of all digits of number

a+b

, and the sum of all digits of

b + c

are all equal to

2

. The largest value of

a + b + c

is
(A):

1099

(B):

2099

(C):

1199

(D):

2199

(E): None of the above.